114846016 has 28 divisors (see below), whose sum is σ = 241305588. Its totient is φ = 54044672.

The previous prime is 114846007. The next prime is 114846023. The reversal of 114846016 is 610648411.

It can be written as a sum of positive squares in 2 ways, for example, as 84640000 + 30206016 = 9200^2 + 5496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51691 + ... + 53866.

Almost surely, 2^114846016 is an apocalyptic number.

114846016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114846016 is an abundant number, since it is smaller than the sum of its proper divisors (126459572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114846016 is a wasteful number, since it uses less digits than its factorization.

114846016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105586 (or 105576 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 114846016 is about 10716.6233487979. The cubic root of 114846016 is about 486.0772681653.

The spelling of 114846016 in words is "one hundred fourteen million, eight hundred forty-six thousand, sixteen".